The role of fractional calculus in modeling biological phenomena: A review

C Ionescu, A Lopes, D Copot, JAT Machado… - … in Nonlinear Science …, 2017 - Elsevier
This review provides the latest developments and trends in the application of fractional
calculus (FC) in biomedicine and biology. Nature has often showed to follow rather simple …

On the ubiquitous presence of fractals and fractal concepts in pharmaceutical sciences: a review

N Pippa, A Dokoumetzidis, C Demetzos… - International journal of …, 2013 - Elsevier
Fractals have been very successful in quantifying nature's geometrical complexity, and have
captured the imagination of scientific community. The development of fractal dimension and …

Developmental pharmacokinetics of morphine and its metabolites in neonates, infants and young children

NJ Bouwmeester, BJ Anderson… - British journal of …, 2004 - academic.oup.com
Background. Descriptions of the pharmacokinetics and metabolism of morphine and its
metabolites in young children are scant. Previous studies have not differentiated the effects …

Estimation of volume of distribution in humans from high throughput HPLC-based measurements of human serum albumin binding and immobilized artificial …

F Hollósy, K Valkó, A Hersey, S Nunhuck… - Journal of medicinal …, 2006 - ACS Publications
The volume of distribution (VD) in humans of 179 known drug molecules (acids, bases, and
neutrals) has been modeled using two biomimetic-binding measurements. The phospholipid …

Theoretical versus empirical allometry: facts behind theories application to pharmacokinetics

I Mahmood - Journal of pharmaceutical sciences, 2010 - Elsevier
Although, no credible data are available, it is widely believed that the pharmacokinetic
parameters such as clearance, volume of distribution, and elimination half-life can be scaled …

Dynamics of tumor growth and combination of anti-angiogenic and cytotoxic therapies

M Kohandel, M Kardar, M Milosevic… - Physics in Medicine & …, 2007 - iopscience.iop.org
Tumors cannot grow beyond a certain size (about 1–2 mm in diameter) through simple
diffusion of oxygen and other essential nutrients into the tumor. Angiogenesis, the formation …

Fractal pharmacokinetics

LM Pereira - Computational and Mathematical methods in …, 2010 - Wiley Online Library
Pharmacokinetics (PK) has been traditionally dealt with under the homogeneity assumption.
However, biological systems are nowadays comprehensively understood as being …

Advanced pharmacokinetic models based on organ clearance, circulatory, and fractal concepts

KS Pang, M Weiss, P Macheras - The AAPS Journal, 2007 - Springer
Three advanced models of pharmacokinetics are described. In the first class are
physiologically based pharmacokinetic models based on in vitro data on transport and …

Morphine pharmacokinetics during venoarterial extracorporeal membrane oxygenation in neonates

JWB Peters, BJ Anderson, SHP Simons… - Intensive care …, 2005 - Springer
Objective To study morphine pharmacokinetics in neonates undergoing venoarterial ECMO
and to quantify differences between these neonates and neonates subjected to noncardiac …

Which in vitro Screens Guide the Prediction of Oral Absorption and Volume of Distribution?

H Van De Waterbeemd - Basic & clinical pharmacology & …, 2005 - Wiley Online Library
The development of medium to high‐throughput in vitro screening of ADME (Absorption,
Distribution, Metabolism, Excretion) properties has been the reply to higher demands on …